He probably would, and even if he wouldn't it's probably not worth exposing ourselves to the recapture scenarios.I can think of like 5 players with contracts as bad as Parise's who may trade that guy for Parise. Not exactly a thriving market, especially considering Parise would probably block trades to a lot of the teams I'm thinking of.
The real problem with Parise isn't even the cap; the Wild can manage that. The problem is that he seems to get a real chip on his shoulder when his role is reduced, which is going to have to happen as the next few years roll on. I don't think it's a reason to make a bad trade, but it's going to be a pain in the butt for a few years.